Which latin american country (brazil, mexico, cuba) has only one political party?

I believe the answer is: Cuba
The communist party of Cuba is acted as the official state party that become the sole political party which exist with legal recognition.
The party run based on marxist-Leninist model and allow the leader of the communist political party to reign supreme as the dictator in that country.

Aunitary state is a form of state where power is concentrated and there is a single center of power that extends its actions throughout the territory of the respective state. this, through its agents and local authorities, delegates of that same central power, and in its majority; it can count on a single legislating apparatus; except for certain exceptions, which legislate for the entire country; a judicial power, which applies the current law to the entire territory of the state and within which a supreme court of justice is established, which has jurisdiction at the national level; a single executive power, that is conformed by all the governors (president, governors, mayors, etc.); and a single political constitution, which governs all the territory and to which all the authorities and inhabitants of the state are subject.a confederation (from the latin: confœderatĭo) consists of the union of states that retain their sovereignty and are governed by certain common laws. initially there was talk of "confederation" in the case of alliances, for this reason the word "confederation" is still used in non-governmental civil society institutions. for this reason, the term confederation is also used to describe any type of organization that combines the authority derived from other semi-autonomous entities. in this case, sports confederations can be cited as some examples. however, the word confederation takes much more relevance when it comes to some permanent alliance of states or some association or association of states.characteristics of a federal government system

  a) written constitution. also known as magna carta and a necessity of the democracies that form federations to regulate the principles by which the government will be governed, because if they had to act without a body of specific laws would produce confrontations.

b) territorial division. federalism is constituted by the division of powers on the geographical basis of each territory.

c) decentralization. in a federal system there is both a central government and units of government lower than the central one, each making decisions regarding the provision of certain public services in their respective geographical jurisdictions.

d) supreme court of justice. to counteract the rigidity of the written constitution, judicial action is required to interpret said constitution and necessary changes can be made.